Abstract

Human-Computer Interaction (HCI) is a key factor in determining how easily and effectively computers can be used. Recent years have seen a substantial increase in interest in the design and development of mathematical models for HCI due to their potential to improve user experience and boost system performance. In-depth analysis of the creation and development of mathematical models for HCI is presented in this research work, with an emphasis on their uses, difficulties, and potential future approaches. The many mathematical modelling approaches used in HCI are discussed in the study, including statistical models, machine learning techniques, and cognitive models. It looks at their benefits and drawbacks and emphasises the significance of using user-centered design principles all the way through the modelling process. The paper also looks at case studies that show the practical application and assessment of mathematical models in real-world HCI Scenario. Finally, it highlights new directions for study and emerging trends in the area of mathematical models for HCI.

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